Time = 8 yearsInterest rate = 14%
Principal = $1,010

What is the total amount of simple interest that is earned?
a.$113.20
b.$1,131.20
c.$11,311.20
d.$113,112.00

Answers

Answer 1
Answer: B)1,131.20 would be the answer. 1010x0.14=141.4x8=B                                                                        
 

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Rite an equation of a line parallel to line EF in slope-intercept form that passes through the point (2, 6).E
Oy=2x+3
Oy = 3x + 6
F
Oy=-3x+23
Oy=-3x+6
22

Answers

The equation of a line parallel to line EF in slope-intercept form is Oy = 2x + b, where b is the y-intercept.

To determine the value of b, we will use the fact that this line passes through the point (2, 6).

Plugging in the x-coordinate of the point (2, 6) into the equation Oy = 2x + b, we get:

6 = 2(2) + b

6 = 4 + b

Subtracting 4 from both sides, we get:

2 = b

Therefore, the equation of the line parallel to line EF in slope-intercept form that passes through the point (2, 6) is:

Oy = 2x + 2.

Benson has a bankruptcy on his credit report, so he pays higher interest rates on his current loans. He calculates that the extra money he pays in additional interest each year, if invested at the rate of 2% for one year, could earn him simple interest totaling $180. How much does Benson pay in additional interest each month?

Answers

Given:
Interest = 180
term = 1 year
Interest rate = 2%

We need to get the principal amount using the simple interest formula.

Interest = Principal * interest rate * term
180 = P * 2% * 1
180 / 2% = P
9,000 = Principal

Benson pays an additional interest of  9,000 each year. A monthly payment of 750.

9,000 / 12 months = 750 per month.

Based on the amount that Benson could earn if he invested the additional interest for one year, the additional interest per month is $750.

What additional interest is Benson paying?

This can be found by the formula:

= (Simple interest amount earned / Number of months in year) / Simple interest rate

Solving gives:

= (180 / 12) / 0.02

= 15 / 0.02

= $750

Find out more on additional interest at brainly.com/question/27037531.

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What are the answers to the following.​

Answers

Answer:

Step-by-step explanation:

8-11 =-3\n\nb. -8+10 = 2\n\nc. 13+(-6) = 13-6 \n= 7\n\nd. 7-(-3)\n= 7+3\n=10\n\ne.-5-(-2)\n=-5+2\n=-3\n\nf. -15-(-25)\n=-15+25\n=10\n\ng. -3+(-6)-(-9)\n= -3-6+9\n=-9+0\n=0\n\nh.-20-(-9)-(-8)\n=-20+9+8\n-20+17\n=-3\n\n

-2+3-(-4)+(-5)\n-2+3+4-5\n= 1-1\n=0\n\n\nb. 18-(-10)+(-19)-8\n=18+10-19-8\n28-27\n=1\n\nc. 65+(-72)-(-45)\n= 65-72+45\n=-7+45\n=38

(5+2yi)(4-3i) - (5-2yi)(4-3i) in a + bi form, where y is a real number.

Answers

(5+2yi)(4-3i) - (5-2yi)(4-3i)

Factorize out (4 - 3i)

(4 -3i)( (5 + 2yi) - (5 -2yi) )

(4 -3i)(5 + 2yi - 5 + 2yi)

(4 -3i)(5 - 5 + 2yi + 2yi)

(4 -3i)4yi

4*4yi - 4yi*3i

= 16yi - 12yi².                 i² = -1

=
16yi - 12y(-1)

= 16yi + 12y

= 12y + 16yi                in the form a + bi.
(5+2yi)(4-3i) - (5-2yi)(4-3i)=\n(4-3i)(5+2yi-5+2yi)=\n(4-3i)\cdot4yi=\n16yi+12y=\n12y+16yi

The equation of circle having a diameter with endpoints (-2, 1) and (6, 7) is(x - 4)² + (y - 3)² = 25
(x - 2)² + (y - 4)² = 25
(x - 2)² + (y - 4)² = 100

Answers


The center of the circle is the midpoint of the diameter.

The 'x' coordinate of the midpoint is  (1/2) (6 - 2) = 2
The 'y' coordinate of the midpoint is  (1/2) (7 + 1) = 4
The center of the circle is the point  (2, 4) .

The length of the diameter of the circle is the distance
between the endpoints of the diameter.

The distance between (-2, 1) and (6, 7) is

                              √ (8² + 6²)

                           = √ (64 + 36)

                           = √ 100  =  10 .

The radius of the circle is      1/2 of 10  =  5 .


Now, the equation of any circle is

        (x - [x of the center])² + (y - [y of the center])² = (radius)² .

and we have all the numbers now.

                    (x - 2)² + (y - 4)²  =  (5)² .

I'm very happy to see that this equation is actually
one of the choices !     I'll bet you are too.

Answer:

(x-2)^(2)+(y-4)^(2)=25

Step-by-step explanation:

In the picture you can see that (x-2)^(2)+(y-4)^(2)=25 has endpoints of (-2, 1) and (6, 7)

What is the solution of the following question?
x^2+10x+25=12

Answers

make equal to 0
minus 12from both sides
x^2+10x+13=0
we can't factor so use quadratic formula

x= \frac{-b+/- \sqrt{b^(2)-4ac} }{2a}
x= \frac{-10+/- \sqrt{10^(2)-4(1)(13)} }{2(1)}
x= (-10+/- √(100-52) )/(2)
x= (-10+/- √(48) )/(2)
x= (-10+/- 4√(3) )/(2)
x= -5+/- 2√(3)


x= -5+ 2√(3) or -5- 2√(3)

aprox
x=-1.5359 or -8.4641





Answer: - 1.536  or - 8.464  

Step-by-step explanation:

Step 1: Rearrange the equation, by putting everything on the left hand side of the equation so that the quadratic formula can be applicable to the equation  

x^2-10*x+25-(12)=0  

Step 2: the quadratic formula

                       

           - B  ±  √ B2-4AC

 x =   ————————

                     2A    

Where A= 1

B = 10

C = 13

B2  -  4AC =  100 - 52  

= 48

            10 ± √ 48  

  x  =    —————

                   2

      -   √ 48  

x =(10-√48)/2=5-2√ 3 =  - 1.536  

x =(10+√48)/2=5+2√ 3 = - 8.464  

Are the two solutions